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Finding the Fourth Proportional to 6,134.13, 8,464.08 and 5,822.78

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Solution

The fourth proportional to 6,134.13, 8,464.08 and 5,822.78 is: 8,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.13 : 8,464.08 = 5,822.78 : x
  2. Step 2: Convert to fraction form
    6,134.13/8,464.08 = 5,822.78/x
  3. Step 3: Cross multiply
    6,134.13x = 8,464.08 × 5,822.78
  4. Step 4: Simplify right side
    6,134.13x = 49,284,446.63
  5. Step 5: Solve for x
    x = 49,284,446.63/6,134.13
  6. Step 6: Final answer
    x = 8,034.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.